The sum of three consecutive integers is 12 less than 4 times the middle integer

Answers

Answer 1

Answer:

[tex]\mathrm{The\:three\: integers\: are\: 11, 12, \: and\:13.}[/tex]

Step-by-step explanation:

We can set up the following equation with the information given:

[tex](x-1)+x+(x+1)=4x-12[/tex], where [tex]x[/tex] is the middle integer.

Solving, we get:

[tex]3x=4x-12, \\-x=-12,\\x=\fbox{12}[/tex].

Answer 2

The three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.

What are integers?

Integers consist of whole numbers and negative numbers on a number line. For e.g -17, 2, 0, etc. are integers.

Consecutive integers mean integers that come one after another in the number line like 1, 2, 3 or 10, 11, 12, etc.

So if we have to form an equation for three consecutive numbers, it will,

(x-1), x, (x+1),

Now, according to the question,

(x-1) + x + (x+1) =  4x -12

Solve the equation,

3x = 4x -12

x = 12

Hence, first integer = 12 -1 = 11,

Second integer = 12,

Third integer = 12+1 = 13.

Therefore, the three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.

To know more about integers:

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Related Questions

A baseball team is having an opening night ticket sale and all tickets are 25% off.
What is the discounted amount if the original ticket price is $85?

Answers

Answer:

9

Step-by-step explanation:

i took the test

How can we find th volume of this fish tank

Answers

Answer:

From the length (owo)

Step-by-step explanation:

All you need is to measure your fish tank's length (from side to side), height (from top to bottom of the tank), and depth (from front to back) and you can figure out how much water your aquarium holds! Tank Width: Numbers only, please. The width of an aquarium is the distance across the front.

Answer: look at the picture and you will see the answer

Step-by-step explanation: hope this help

What's the value of 280?

Question 5 options:

28


1


0


128

Answers

Answer:

28⁰ = 1

Step-by-step explanation:

If you raise a number to the power of zero, it becomes 1, regardless of the number.  The only exception is 0⁰, which is undefined.  Any other value to the power of zero equals one.

The easiest way to see it is like this:

Pick any value, we'll call it x

x⁴ = x⁵ / x

x³ = x⁴ / x

x² = x³ / x

x¹ = x² / x

x⁰ = x¹ / x

Because x¹ is equal to x, then x⁰ is just x/x, which is always equal to 1, unless x is equal to zero.

Answer:

280^0 is 1

Step-by-step explanation:

with exponents u have to multiply the base (280) by whatever the exponent is (0), but since the exponent is 0, use multiplicative identity to get 1. any number to ^0 is 1 because its the same as the product on no number at all (0)

its really confusing but i tried my best to explain it lol T-T

Need help with this please?

Answers

hope this hwelps! (OwO)

In a survey of first graders, their mean height was 51.6 inches with a standard deviation of 3.6 inches. Assuming the heights are normally distributed, what height represents the first quartile of these students?

Answers

Answer:

Step-by-step explanation:

In a survey of first graders, their mean height was 51.6 inches with a standard deviation of 3.6 inches. Assuming the heights are normally distributed, what height represents the first quartile of these students?

54.03 inches

48.57 inches

48.00 inches

49.17 inches

find the measurement of angle 1​

Answers

Answer:

100 degrees.

Step-by-step explanation:

The missing angle on the bottom triangle is equal to 80 degrees because a triangle's interior angles add up to 180deg.

Think of that middle angle between angle 1 and the two triangles as a full 360deg. Since VAT (Vertical Angle Theorem) suggests that vertical angles are equal, 160deg of that 360deg are taken up by the missing angles in the triangles. That leaves 200deg to split between angle 1 and its equal vertical angle, which means angle 1 is 1/2 of 200, or 100deg.

Please can someone do itpleaseeeeeeee

Answers

Answer:

a=250

b=10

done...

Simplify: 21 - 4z = 14 - 8z


4z = -7


-12z = -7


-12z = 35


4z = 35

Answers

Step-by-step explanation:

Here,

21-4z=14-8z

-4z+8z=14-21

4z=-7

Please help me....................

Answers

Answer:

B = 43°

a = 44.7

c = 53.3

Step-by-step explanation:

✔️B = 180° - (90° + 47°) (sum of interior angles of a ∆)

B = 180 - 137

B = 43°

✔️Use trigonometric ratio formula to find a:

reference angle = 47°

Opposite = a

Adjacent = 29

Thus,

tan 47 = a/29

Multiply both sides by 29

29*tan 57 = a

44.7 = a

a = 44.7 (nearest tenth)

✔️Use trigonometric ratio formula to find a:

reference angle = 47°

Opposite = a = 44.7

Hypotenuse = c

Thus,

Sin 47 = 44.7/c

Multiply both sides by c

c*sin 57 = 44.7

Divide both sides by sin 57

c = 44.7/sin 57

c = 53.3 (nearest tenth)

Which method can be used to solve 11\times13?11×13?

Answers

Multiplication
But when multiplying a number by 11, you add both digits together and place it in between the numbers 1+3=4
11x13=143

The method that would be used to solve 11\times 13 is Multiplication So it would be: 11 x 13 which would equal to 143.

In math times means: Multiplication.

The tape diagram represents the ratio of your monthly allowance to your friend's monthly allowance. The monthly allowances total $90. How much is each allowance?

you [][][][][]
friend[][][][]

Answers

Hope this helps! Have a good day

Your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 5+4=9

Now, your monthly allowance = 5/9 × 90

= 50

So, your friend's monthly allowance = 90-50 = 40

Therefore, your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

To learn more about the ratio visit:

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Determine whether formulas u and v are logically equivalent (you may use truth tables or
properties of logical equivalences).
(a) u : (p ⇒ q) ∧ (p ⇒ q) v : p
(b) u : p ⇒ q v : q ⇒ p
(c) u : p ⇔ q v : q ⇔ p
(d) u : (p ⇒ q) ⇒ r v : p ⇒ (q ⇒ r)

Answers

D I did this to once u get it it’s so easy ;)

HELP ME WALLAH PLSSSSS

Answers

The answer to that is 81 :)

Answer:

81

hope this helped :D

Please can you help on this question?!!!!!!!

Answers

Answer:

he has to run another 1/3 of the race for it to equal 6 kilometer all together

Step-by-step explanation:

hope this helps

A bag contains cards numbered 1-5.
There is only one card for each number in the
bag. A card is selected at random. Then a
second card is selected, without replacing the
first card. Create a list of the possible
outcomes for the card selections

Answers

1,2
1,3
1,4
1,5
2,1
2,3
2,4
2,5
3,1
3,2
3,4
3,5
4,1
4,2
4,3
4,5
5,1
5,2
5,3
5,4

Write as a polynomial: 2a^2(a-1)(3-a)

Answers

Step-by-step explanation:

HI tkando45

To write as a polynomial, just multiply every term int he first parenth by every term in the second parentheses.

 

It is like distributing:

 

For Example

a2(a-4) - 2a(a-4) + 3(a-4)

 

a3 - 4a2 - 2a2 + 8a + 3a - 12

 

Now combine like terms:  

 

a3 - 6a2 + 11a -12   <----  that is your polynomial

now use the above examples and calculate ur question

what is 61÷207.4 again help me someone

Answers

Answer:

3.4

Step-by-step explanation:

I need help please..

Answers

Answer:

Charlotte: 7

Step-by-step explanation:

You can subtract 29 on both sides to get 7=p

The awnser is 7 I’m I think

The density of silver is 10.49g/cm3. If a sample of pure silver has a volume of 12.993cm3, what is the mass?

Answers

Answer:

d X v = m

12.993 X 10.49 = 136.29657

5x - 10y=-20
5x + 3y = 6
Show work

Answers

Answer:

5x -10y= -20

5x + 3y = 6

-(5x + 3y=6)

5x-10y=-20

-5x-3y=-6

-10y  -3y = -20 -6

-13y=-26

y= -26/-13

y=2

5x-10(2)=-20

5x-20=-20

5x=-20-20

5x=-40

x= -40/5

x= -8, and y= 2

You depost $572.34 into an account that pays 4.5% interest. How much interest do you earn after 5 years? (Use the formula I=rpt)


A. $128.78
B. $25.76
C. $12,877.65


I really need help!​

Answers

Hello!! I believe the correct answer is C!! If you do 572.34 x 4.5= 2,575.53 so then you multiply that by 5 which gets you 12,877.65!! ;))

PLEASE I REALLY NEED HELP I OFFER 15 POINTS

Answers

Answer:

-5=25 ------>x= -5

[tex]\frac{x}{5}[/tex]= -5 --------> x=-25

-1.2x=-6 --------> x=5

[tex]\frac{x}{0.5}[/tex] = 50 ---------> x=25

Brainliest would be nice!

The answer is x=25 hope this help

I will give brainiest to whoever answers correctly !!

Answers

Answer:

$2936.79

Explanation:

The Formula for compounding interest:

[tex]F = I(1 + \frac{r}{n})^{nt}[/tex]

F = final amount  (we need to find this)

I = initial amount (900 + 250 + 300 + 1400 = $2850)

r = interest rate  (1% = 0.01)

n = number of times interest applied per time period  (360)

t = number of time periods elapsed (36 months = 3 years)

[tex]F = 2850(1 + \frac{0.01}{360})^{360*3}[/tex]

F = 2850(1.030454105)

F = $2936.79

Answer:

He will have a total of $2936.79

Step-by-step explanation:

The total to be invested is the addition: 900+250+300+1400=2850

Now we invest this amount at the specified rate for three years (equivalent to 36 months), and use the compounded interest formula:

[tex]A=P(1+r/n)^{n*t}\\A=2850(1+0.01/360)^{3*360}\\A\approx 2936.79[/tex]

The lowest point in Death Valley is Badwater at 282 feet below sea level. The highest point in
the surrounding mountains is Telescope Peak at 11,043 feet above sea level. How many feet
higher is Telescope Peak than Badwater?

Answers

Answer:

Step-by-step explanation:

Given

[tex]Badwater = -282ft[/tex]

[tex]Telescope\ Peak = 11043ft[/tex]

The position of badwater is negated because it is below sea level

The interpretation of the question, is to calculate the distance between the two given points.

This is calculated as:

[tex]Difference = Telescope\ Peak - Badwater[/tex]

[tex]Difference = 11043ft - (-282ft)[/tex]

Open bracket

[tex]Difference = 11043ft+282ft[/tex]

[tex]Difference = 11325ft[/tex]

Hence, the distance between both is 11325ft

Which linear inequality is represented by the graph ?

Y > 2/3x - 1/5
Y > or = to 3/2x + 1/5
Y < or = to 2/3x + 1/5
Y < 3/2x - 1/5

Answers

Answer: y ≤ (2/3)*x + 1/5

Step-by-step explanation:

In the graph, we can see a solid line (this means that the values of the line are part of the solution, then the symbol used will be ≤ or ≥)

Also, we can see that the shaded part (the shaded part is the solution of the inequality) is below the line. This means that y is equal to the values in the line, or smaller than the values in the line. Then we will have something like:

y ≤ a*x +b

The only option that uses this symbol is:

Y < or = to 2/3x + 1/5    (y ≤ (2/3)*x + 1/5)

Then this is the correct option.

help geometry unit 1​

Answers

Answer:

here you go...........

Suzie ate brunch at a restaurant. The bill came to $6 .If she left a 15% tip, how much was the tip

Answers

Answer:

0.9 Its the answer,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Which rational number could be graphed between 0 and 1?
-5
-4
-3
-2
-1
0
1
2
3
-
نات
Nw
1.75

Answers

The answer is 1/4 your welcome

solve for x x−3/11=8

x=​

Answers

i’m pretty sure that x=91 because 91-3=88 then 88 divided by 11 is 8

3 .912+s=5.313 evaluate

Answers

Answer:

s= 1.401

Step-by-step explanation:

subtract 5.313 from 3.912 :D

The evaluation of the equation 3 .912+s=5.313 yields; s = 1.401

Evaluation of one variable equation

According to the questions;

We are required to evaluate the equation; 3 .912+s=5.313

Hence, we must subtract 3.912 from both sides of the equation as follows;

3 .912+s -3.912 = 5.313 - 3.912.

s = 1.401

Read more on one variable equation;

https://brainly.com/question/21528555

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